Explain the calculations step by step and make it easy to understand

Differentiate f (x) = Vx from first principles. Jxth- Vx f' ( x ) = lim h - o h /xth- vx /xth- vx Vathtux We do not want to let the denominator tend X h h to zero so manipulate the numerator to get Vathtux a factor of h (xth) - (x) = We can get rid of the square roots by h(vxth+ vx multiplying top and bottom of the fraction h = by vx+ h + vx and using the difference of h(vxth+ vx two squares We can now divide top and bottom by h... . = Vh+ x + vx